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1321132140240 = 2435112101450431
BaseRepresentation
bin10011001110011001100…
…111001010011011010000
311200022001222012101220220
4103032121213022123100
5133121134311441430
62450530354433040
7164306612622603
oct23163147123320
94608058171826
101321132140240
1146a31a718a00
12194064592780
13977751c6c33
1447d2bd7833a
1524574275110
hex133999ca6d0

1321132140240 has 240 divisors, whose sum is σ = 4546257020928. Its totient is φ = 317102720000.

The previous prime is 1321132140227. The next prime is 1321132140311. The reversal of 1321132140240 is 420412311231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1321132140240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2707825 + ... + 3158255.

Almost surely, 21321132140240 is an apocalyptic number.

1321132140240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321132140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273128510464).

1321132140240 is an abundant number, since it is smaller than the sum of its proper divisors (3225124880688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1321132140240 is a wasteful number, since it uses less digits than its factorization.

1321132140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450570 (or 450553 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1321132140240 its reverse (420412311231), we get a palindrome (1741544451471).

The spelling of 1321132140240 in words is "one trillion, three hundred twenty-one billion, one hundred thirty-two million, one hundred forty thousand, two hundred forty".